Abstract

Let $\mfI$ be the class of fully zero-simple semihypergroups generated by a hyperproduct. In this paper we study some properties of residual semihypergroup $(H_+, \star)$ of a semihypergroup $(H,\circ)\in \mfI$. Moreover, we find sufficient conditions for $(H,\circ)$ and $(H_+, \star)$ to be cyclic.

DOI

10.3906/mat-1904-14

Keywords

Semihypergroups, simple semihypergroups, fully semihypergroups

First Page

1905

Last Page

1918

Recommended Citation

SALVO, M. D, FRENI, D, & FARO, G. L (2019). On hypercyclic fully zero-simple semihypergroups. Turkish Journal of Mathematics 43 (4): 1905-1918. https://doi.org/10.3906/mat-1904-14

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